Pre calc Unit 8 quiz: Trig Equations

Solve -2cosθ + √(3)/2= 3 cosθ on θ ∈ [0, 2π]

• θ = π /3, 2π /3

• θ = 2π /3, 4π /3

• θ = π /6, 5π /6

• θ = 5π /6, 7π /6

Solve tanθ+1=2 on θ∈[0, 2π)

• 0 and π

• 3π/4 and 7π/4

• π/4 and 5π/4

• 3π/4 and 5π/4

Tags

CCSS.HSF.TF.B.7

Solve
cos²θ = ½ 
on θ∈[0, 2π)

• θ = π /4, 7π /4
• θ = π /4, 3π /4
• θ = 3π /4, 5π /4
• θ = π /4, 3π /4, 5π /4, 7π /4

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0^o, 360^o]

1/2sec x - 1 = 0

• 30^o, 210⁰

• 60^o, 300⁰

• 120^o, 240⁰

• 210^o, 330⁰

Solve on the domain [0, 2π)
2sin x cos x = √2 cos x

• π/2, 3π/2
• 0, π/4, 3π/4
• π/2, 3π/2, π/4, 3π/4
• No solution

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0^o, 360^o]

cos x + 2 = 3 cos x

• 0^o, 120^o, 240^o

• 180^o

• 0^o

• No solution

Solve on the domain $\left[0,2\pi\right]$  

•  $\pi$  

•  $0,\pi,\frac{7\pi}{4}$  

•  $0,\frac{\pi}{4},\frac{7\pi}{4}$  

•  $0,\frac{\pi}{4},\pi,\frac{7\pi}{4}$  

• A
• B
• C
• D

Tags

CCSS.HSF.TF.B.7

P (3, 4)  is a point on the terminal side of θ. Find θ for  $0\degree\le\theta\le360\degree$ . Round to the nearest degree.

•  $233\degree$  

•  $127\degree$  

•  $53\degree$  

•  $307\degree$  

Use a calculator to approximate values of x that satisfy the given equation and inequality for  $\degree0\le\theta\le360\degree$  
3sinx + 5 = -4sinx - 1

•  $239\degree$  , $301\degree$  

•  $301\degree$  

•  $239\degree$  

•  $239\degree,\ 312\degree$